Solve the followin system algebrically.

y= 1/2(x-3)²+4

y= -1/2(x-1)²+6

The system 3x-y+4=0 and x²-8y-1=0 will have

a. o solutions

b. 1 real solution

c. 2 real solutions

d. an infinte number of real solutions

A famous fractal called the Sierpinski Triangle starts with one black triangle.  The triangle is then cut into four equal pieces, and the three outer triangles are coloured black and the inner triangle is white.  Each of the three black triangles is again divided into four equal triangles, and the three outer triangles are shaded black. a. Suppose the area of the first triangle is 100 cm2.  Determine the black shaded area in the second triangle.  Do the same for the third triangle. b. Write the general term describing the shaded area of the nth Sierpinski Triangle.

Ahmed worked all summer for a bee farmer.  Ahmed was paid $400.00 the first week.  The farmer paid a $50.00 raise per week for each additional week of employment.  Ahmed worked on the bee farm for 8 weeks before his first year of university began. a. Write out the first three weeks of earnings.  Is this an arithmetic or geometric sequence?  Justify. b. Calculate how much Ahmed earned over the 8 weeks of summer.

Ahmed worked all summer for a bee farmer.  Ahmed was paid $400.00 the first week.  The farmer paid a $50.00 raise per week for each additional week of employment.  Ahmed worked on the bee farm for 8 weeks before his first year of university began. a. Write out the first three weeks of earnings.  Is this an arithmetic or geometric sequence?  Justify. b. Calculate how much Ahmed earned over the 8 weeks of summer.

ahmed worked all summer for a bee farmer. Ahmed was paid $400.00 the first week. The farmer paid a $50.00 raise per week each additional week of emplyment. Ahmed worked on the bee farm for 8 weeks before his first year of uiversity began. Write out the first 3 weeks of earnings. Is this geometric or sequence?

What can √75-√108-√147 be simplified to

a device accelerates a projectile from rest using magnetic forceon a on current carrying wire. The wire has a length 70.0cm and a mass of 15.0kg. This wire is totally contained in a perpenducular magnetic field of 1.85 T, and the 2 rails that allow this wire to slide along are 1.0 m long. If this wire is suddenly provided with 1.00 x10⁴ of current what will be the velocity of the wire when it leaves the rail.

The reaction is :

CO + NO2 —> CO2 +NO

the loss of carbon monoxide is -0.00033333 M/min

what is the gain of Carbon Dioxide?

hoe to find the force which accelerates two masses of 4.0kg and 2.5kg horizontally